He bridges the gap between continuous models (calculus) and discrete models (computation) using finite differences and the finite element method.
The core difficulty of CSE is turning the continuous (derivatives, integrals) into the discrete (arrays, loops). Strang dedicates significant real estate to . He does not just present the formulas; he asks the "Strangian" question: If the solution is smooth, which method wins? If it has a shock, which method survives? Computational Science And Engineering Gilbert Strang
One of the defining features of Strang’s work in CSE is his emphasis on the Finite Element Method (FEM). While many instructors approach FEM through a strictly analytical lens, Strang teaches it as a logical extension of linear algebra. He demonstrates how physical systems, from bridge trusses to fluid flows, can be discretized into systems of linear equations ( He bridges the gap between continuous models (calculus)